shop x sold 1800 cutlery in two days.on Monday the ratio of the number of forks spoons to knives sold was 2:3:4. on Tuesday the ratio of the number of forks to spoons two knives sold was 3:2:4. shop x sold the same number of spoons each day.
(a) what was the total number of spoons sold on both days?
(b) on Wednesday some cutleries were returned to shop x. the ratio of the number of forks to spoons to knives returned was 1:3:2 and all the spoons were returned. find the total number of cutleries returned to shop x.
Answers
Step-by-step explanation:
let the number of spoons, forks, knives sold be x
then,
a)
2:3:4= 2x+ 3x+ 4x
2x+ 3x+ 4x= 1800
9x= 1800
x= 200
number of forks, spoons and knives on monday are:-
number of forks is:-
2x= 2*200= 400
number of spoons is:-
3x= 3*200= 600
number of knives is:-
4x= 4*200= 800
number of spoons, forks and knives sold on tuesday are:-
number of forks is:-
3x= 3*200= 600
number of spoons is:-
2x= 2*200= 400
number of knives is:-
4x= 4*200= 800
therefore,
number of forks sold on both the days are:-
400+ 600= 1000
number of spoons sold on both the days are:-
600+400= 1000
number of knives sold on both the days are:-
800+800= 1600
therefore, the number of forks, spoons and knives sold in both the days is 1000, 1000 and 1600 respectively.
b)
let the number of cutleries returned to the shop be x
then,
1:3:2= 1x+ 3x+2x
1x+3x+2x= 1000+1000+1600
6x= 3600
x= 600
total number of cutileries sold on wednesday:-
number of forks:-
1x= 1*600= 600
number of spoons:-
3x= 3*600= 1800
number of knives:-
2x= 2*600= 1200
therefore, number of total cutleries returned to the x shop are:-
600+1800+1200
3600
3600 cutleries are returned to the shop x
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